The given a → is a non zero vector of magnitude a and λ, a non-zero scalar.
Unit vector has magnitude 1.
So,
| λ a → |=1 | λ || a → |=1 | a → |= 1 | λ |
Thus, vector λ a → is a unit vector, if | a → |= 1 | λ | .
Ifis a nonzero vector of magnitude ‘a’ and λ a nonzero scalar, then λis unit vector if
(A) λ = 1 (B) λ = –1 (C)
(D)